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International Journal of Wireless and Microwave Technologies(IJWMT))

International Journal of Wireless and Microwave Technologies(IJWMT)

ISSN: 2076-1449(Print),ISSN: 2076-9539(Online)
DOI: 10.5815/ijwmt

Published By: MECS Publisher
  • IJWMT Vol.1, No.5, October 2011

The Existence of Homoclinic Solutions for Second Order Hamiltonian System

  
Full Text (PDF, 200KB), PP.54-59  
Author(s)  
Jie Gao  
Index Terms  
Homoclinic solution; Hamiltonian system; critical point; （PS） condition  
Abstract  
The research of homoclinic orbits for Hamiltonian system is a classical problem, it has valuable applications in celestial mechanics, plasma physis, and biological engineering. For example, homoclinic orbits rupture can yield chaos lead to more complex dynamics behaviour. This paper studies the existence of homoclinic solutions for a class of second order Hamiltonian system, we will prove this system exists at least one nontrivial homoclinic solution.
 
Reference  
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[8] P. H. Rabinowitz, "Minimax Methods in Critical Point Theory with Applications to Differential Equations", CBMS Reg.Conf. Ser. in. Math., vol. 65, America Mathematical society, Provodence, RI, 1986
 
Citation  

Jie Gao,"The Existence of Homoclinic Solutions for Second Order Hamiltonian System", IJWMT, vol.1, no.5, pp.54-59, 2011.